3-6-9 — the arithmetic Tesla never said

Three layers, surgically separated. (1) The famous quote is APOCRYPHAL — no primary source; flagged, not repeated as Tesla's. (2) The mathematics underneath is real and sealed: in base 10, digit-roots live mod 9, and the doubling sequence 1→2→4→8→7→5 cycles with order 6 while never touching 3, 6, 9 — exactly the residues sharing a factor with 9 (casting out nines, as old as the medieval ledgers). (3) The null kills the mysticism, sealed: in base 12 digit-roots live mod 11, where 2 is a primitive root — the doubling cycle visits EVERY nonzero residue and the "sacred exclusion" evaporates. The pattern was an artifact of counting on ten fingers, not a key to the universe. Modular arithmetic CONFIRMED; vortex-math cosmology REFUSED. https://narrowhighway.com/s/2e34a241be96f38a73db1afc938782e4d4931ed4220db18f58edfbddcda8259a